Accession Number : AD0717330

Title :   On the Determination of Near-Body Orbits Using Mass Concentration Models,

Corporate Author : CULLEN COLL OF ENGINEERING HOUSTON TEX

Personal Author(s) : Raney,James Lewis ; Childs,Bart

Report Date : DEC 1970

Pagination or Media Count : 54

Abstract : The observations of a near-body satellite are used in the determination of certain constants appearing in a mathematical representation of the gravitational field of the central body. This representation is based on the assumption that the mass of the central body can be closely modeled by several concentrated masses located near its geometric center. The determination method employs a perturbation technique, numerical integration of linear and nonlinear differential equations, least-squares fitting criteria, and matrix inversion to determine estimates for the parameters involved. Several models for the representation of central body gravitational fields are discussed and the numerical techniques for evaluation of the parameters involved are briefly reviewed. The computations performed indicate that the parameters of such models can be estimated numerically. Some of the problems associated with using the method described herein to solve typical trajectory problems are discussed and some actual results are presented. Finally, suggestions for additional study of the theory and its applications are proposed. (Author)

Descriptors :   (*LOW ORBIT TRAJECTORIES, MATHEMATICAL ANALYSIS), (*GRAVITY, DETERMINATION), POTENTIAL ENERGY, N-BODY PROBLEM, MATRICES(MATHEMATICS), LEAST SQUARES METHOD, NUMERICAL INTEGRATION, EQUATIONS OF MOTION, NONLINEAR DIFFERENTIAL EQUATIONS, PERTURBATION THEORY

Subject Categories : Geodesy
      Spacecraft Trajectories and Reentry

Distribution Statement : APPROVED FOR PUBLIC RELEASE